By a perturbation method and constructing comparison functions, we show the exact asymptotic behaviour of solutions to the semilinear elliptic problem
where is a bounded domain in with smooth boundary, , , , is increasing on , and is non-negative non-trivial in , which may be singular or vanishing on the boundary.
Submitted February 5, 2006. Published May 20, 2006.
Math Subject Classifications: 35J60, 35B25, 35B50, 35R05.
Key Words: Semilinear elliptic equations; large solutions; asymptotic behaviour.
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| Zhijun Zhang |
Department of Mathematics and Information Science
Yantai University, Yantai, Shandong, 264005, China
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